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12114422433240 = 2335379728128593
BaseRepresentation
bin1011000001001001101111…
…0110001000010111011000
31120220010102221001222002020
42300102123312020113120
53041440314120330430
641433142215534440
72360144452443231
oct260223366102730
946803387058066
1012114422433240
113950774706516
121437a3368a420
1369b5011a559a
142dc4ac27a088
151601cd3d3b10
hexb049bd885d8

12114422433240 has 128 divisors (see below), whose sum is σ = 37710318260160. Its totient is φ = 3110797246464.

The previous prime is 12114422433233. The next prime is 12114422433263. The reversal of 12114422433240 is 4233422441121.

It is a super-3 number, since 3×121144224332403 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13633617 + ... + 14494976.

Almost surely, 212114422433240 is an apocalyptic number.

12114422433240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12114422433240 is an abundant number, since it is smaller than the sum of its proper divisors (25595895826920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12114422433240 is a wasteful number, since it uses less digits than its factorization.

12114422433240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28128741 (or 28128737 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 12114422433240 its reverse (4233422441121), we get a palindrome (16347844874361).

The spelling of 12114422433240 in words is "twelve trillion, one hundred fourteen billion, four hundred twenty-two million, four hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 97 111 120 148 185 194 222 291 296 370 388 444 485 555 582 740 776 888 970 1110 1164 1455 1480 1940 2220 2328 2910 3589 3880 4440 5820 7178 10767 11640 14356 17945 21534 28712 35890 43068 53835 71780 86136 107670 143560 215340 430680 28128593 56257186 84385779 112514372 140642965 168771558 225028744 281285930 337543116 421928895 562571860 675086232 843857790 1040757941 1125143720 1687715580 2081515882 2728473521 3122273823 3375431160 4163031764 5203789705 5456947042 6244547646 8185420563 8326063528 10407579410 10913894084 12489095292 13642367605 15611369115 16370841126 20815158820 21827788168 24978190584 27284735210 31222738230 32741682252 40927102815 41630317640 54569470420 62445476460 65483364504 81854205630 100953520277 109138940840 124890952920 163708411260 201907040554 302860560831 327416822520 403814081108 504767601385 605721121662 807628162216 1009535202770 1211442243324 1514302804155 2019070405540 2422884486648 3028605608310 4038140811080 6057211216620 12114422433240